Algebra
Calculus
Trigonometry
Matrix
Question
Solve the quadratic equation
Solve by factoring
Solve using the quadratic formula
Solve by completing the square
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x1=1,x2=7
Evaluate
(7−2x)(9−2x)−35=0
Expand the expression
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Evaluate
(7−2x)(9−2x)−35
Multiply the terms
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Evaluate
(7−2x)(9−2x)
Apply the distributive property
7×9−7×2x−2x×9−(−2x×2x)
Multiply the numbers
63−7×2x−2x×9−(−2x×2x)
Multiply the numbers
63−14x−2x×9−(−2x×2x)
Multiply the numbers
63−14x−18x−(−2x×2x)
Multiply the terms
63−14x−18x−(−4x2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
63−14x−18x+4x2
Subtract the terms
63−32x+4x2
63−32x+4x2−35
Subtract the numbers
28−32x+4x2
28−32x+4x2=0
Factor the expression
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Evaluate
28−32x+4x2
Rewrite the expression
4×7−4×8x+4x2
Factor out 4 from the expression
4(7−8x+x2)
Factor the expression
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Evaluate
7−8x+x2
Rewrite the expression
7+(−7−1)x+x2
Calculate
7−7x−x+x2
Rewrite the expression
7−7x−x+x×x
Factor out 7 from the expression
7(1−x)−x+x×x
Factor out −x from the expression
7(1−x)−x(1−x)
Factor out 1−x from the expression
(7−x)(1−x)
4(7−x)(1−x)
4(7−x)(1−x)=0
Divide the terms
(7−x)(1−x)=0
When the product of factors equals 0,at least one factor is 0
7−x=01−x=0
Solve the equation for x
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Evaluate
7−x=0
Move the constant to the right-hand side and change its sign
−x=0−7
Removing 0 doesn't change the value,so remove it from the expression
−x=−7
Change the signs on both sides of the equation
x=7
x=71−x=0
Solve the equation for x
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Evaluate
1−x=0
Move the constant to the right-hand side and change its sign
−x=0−1
Removing 0 doesn't change the value,so remove it from the expression
−x=−1
Change the signs on both sides of the equation
x=1
x=7x=1
Solution
x1=1,x2=7
Show Solution
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